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Finding the Fourth Proportional to 1,005.60, 1,507.86 and 420.24

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Solution

The fourth proportional to 1,005.60, 1,507.86 and 420.24 is: 630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.60 : 1,507.86 = 420.24 : x
  2. Step 2: Convert to fraction form
    1,005.60/1,507.86 = 420.24/x
  3. Step 3: Cross multiply
    1,005.60x = 1,507.86 × 420.24
  4. Step 4: Simplify right side
    1,005.60x = 633,663.09
  5. Step 5: Solve for x
    x = 633,663.09/1,005.60
  6. Step 6: Final answer
    x = 630.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.